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Algorithms
Contributed by: Skelton
  • 1. Algorithms are step-by-step procedures or formulas for solving problems. They are a set of instructions that describe how to perform a task or solve a problem effectively. Algorithms are used in various fields such as computer science, mathematics, engineering, and more. They help in organizing data, making decisions, and automating processes. By designing efficient algorithms, we can optimize the use of resources, improve performance, and solve complex problems in a systematic way.

    Which sorting algorithm has a worst-case time complexity of O(n2)?
A) Merge Sort
B) Heap Sort
C) Bubble Sort
D) Quick Sort
  • 2. What data structure is typically used in a Depth-First Search (DFS) algorithm?
A) Queue
B) Binary Tree
C) Stack
D) Array
  • 3. Which algorithm is commonly used to find the shortest path in a graph with non-negative edge weights?
A) Bellman-Ford algorithm
B) Prim's algorithm
C) Dijkstra's algorithm
D) A* search algorithm
  • 4. What does the 'recursion' mean in the context of algorithms?
A) A function that has no return statement.
B) A function that calls itself in a problem-solving process.
C) A function that generates random numbers.
D) A function that iterates over a collection of elements.
  • 5. Which algorithm is used to find the transitive closure of a directed graph?
A) Warshall's algorithm
B) Tarjan's algorithm
C) Kosaraju's algorithm
D) Floyd's algorithm
  • 6. What is the term for the measure of how detailed the instructions are in an algorithm?
A) Efficiency
B) Complexity
C) Scalability
D) Granularity
  • 7. Which of the following is a divide and conquer algorithm?
A) Merge Sort
B) Bubble Sort
C) Insertion Sort
D) Selection Sort
  • 8. What is the process of making a repetitive sequence shorter by using previous occurrences called?
A) Huffman Coding
B) Burrows-Wheeler Transform
C) Differential Encoding
D) Run-Length Encoding
  • 9. What data structure is typically used in a Breadth-First Search algorithm?
A) Heap
B) Linked List
C) Stack
D) Queue
  • 10. Which algorithm can be used to find the maximum flow in a flow network?
A) Binary Search algorithm
B) Ford-Fulkerson algorithm
C) Depth-First Search
D) Bubble Sort
  • 11. What is the worst-case time complexity of the Quick Sort algorithm?
A) O(n2)
B) O(log n)
C) O(n log n)
D) O(n)
  • 12. What is the main advantage of the breadth-first search (BFS) algorithm over depth-first search (DFS)?
A) BFS is easier to implement.
B) DFS uses less memory space.
C) BFS guarantees the shortest path to the goal.
D) DFS finds the path more quickly.
  • 13. What is the primary goal of the Floyd-Warshall algorithm?
A) To determine the largest connected component in an undirected graph.
B) To sort elements in ascending order.
C) To find the shortest paths between all pairs of vertices in a weighted graph.
D) To calculate the maximum flow in a flow network.
  • 14. Which algorithm is used to find the longest common subsequence between two sequences?
A) Radix Sort
B) Heap Sort
C) Longest Common Subsequence algorithm
D) Selection Sort
  • 15. Who was the Persian scientist and polymath who wrote about algorithms in 825 AD?
A) Adelard of Bath
B) Geoffrey Chaucer
C) John of Seville
D) Muḥammad ibn Mūsā al-Khwārizmī
  • 16. What is the Latinized form of Al-Khwarizmi's name used in early translations?
A) Algorism
B) arithmos
C) algoritmi
D) augrym
  • 17. Which text by al-Khwārizmī is known as 'Book of Indian computation'?
A) Liber Alghoarismi de practica arismetrice
B) The Canterbury Tales
C) Liber Algoritmi de numero Indorum
D) kitāb al-ḥisāb al-hindī
  • 18. In what context are social media recommender systems often mistakenly called 'algorithms'?
A) They are based on finite sequences of instructions.
B) They use deterministic processes to generate recommendations.
C) They provide well-defined correct results for all users.
D) They rely on heuristics, not true algorithms.
  • 19. What is the role of conditionals in advanced algorithms?
A) They prevent automated reasoning.
B) They ensure that the algorithm always terminates.
C) They eliminate randomness from the algorithm.
D) They divert code execution through various routes.
  • 20. What does 'automated reasoning' refer to in the context of algorithms?
A) Following a fixed sequence of operations.
B) Deducing valid inferences through code execution.
C) Generating random outputs without input.
D) Using heuristics to solve problems.
  • 21. What is the significance of 'augrym stones' mentioned by Geoffrey Chaucer?
A) They represented heuristic methods.
B) They were a form of algorithmic programming.
C) They were early computers.
D) They were used for place-value calculation.
  • 22. In which ancient civilization were the earliest division algorithms recorded?
A) Chinese mathematics
B) Babylonian mathematics
C) Egyptian mathematics
D) Greek mathematics
  • 23. Which dynasty is associated with Babylonian clay tablets describing algorithms for computing formulas?
A) Neo-Babylonian dynasty
B) Assyrian dynasty
C) Akkadian dynasty
D) Hammurabi dynasty
  • 24. The Rhind Mathematical Papyrus is associated with which ancient civilization?
A) Greek mathematics
B) Egyptian mathematics
C) Indian mathematics
D) Babylonian mathematics
  • 25. Who developed the first cryptographic algorithm for deciphering encrypted code?
A) Al-Kindi
B) Muḥammad ibn Mūsā al-Khwārizmī
C) Nicomachus
D) Euclid
  • 26. Which algorithm design pattern involves defining a skeleton of an algorithm in a method?
A) Dynamic programming
B) Divide-and-conquer
C) Template method pattern
D) Decorator pattern
  • 27. Which invention was used worldwide by the mid-19th century?
A) Telegraph
B) Television
C) Telephone
D) Radio
  • 28. The Euclidean algorithm was first described in which ancient text?
A) Algebra by Al-Khwarizmi
B) Sulba Sutras
C) Introduction to Arithmetic by Nicomachus
D) Euclid's Elements
  • 29. Which invention led to the development of punch cards?
A) Telephone-switching network
B) Telegraph
C) Analytical engine
D) Jacquard loom
  • 30. What mechanism was key to the invention of weight-driven clocks in the Middle Ages?
A) Quartz oscillator
B) Balance wheel mechanism
C) Verge escapement mechanism
D) Pendulum mechanism
  • 31. Which problem-solving technique involves invoking itself repeatedly?
A) Iteration
B) Recursion
C) Serial execution
D) Parallel processing
  • 32. Which type of programming involves finding optimal solutions to a linear function with constraints?
A) Dynamic programming
B) Heuristic method
C) Linear programming
D) Greedy method
  • 33. Which approach involves building multiple solutions incrementally and abandoning them if they cannot lead to a valid full solution?
A) Backtracking
B) Divide and conquer
C) Reduction of complexity
D) Brute-force or exhaustive search
  • 34. Who invented the digital adding device in 1937?
A) George Stibitz
B) Alan Turing
C) John von Neumann
D) Konrad Zuse
  • 35. What is a common application of greedy algorithms in graph theory?
A) Solving integer programming problems.
B) Finding minimal spanning trees.
C) Optimizing linear functions with constraints.
D) Simulating annealing processes.
  • 36. Who began attempts to solve David Hilbert's Entscheidungsproblem in 1928?
A) Alan Turing
B) Alonzo Church
C) Emil Post
D) David Hilbert
  • 37. Which of the following is not a structured expression of algorithms that avoids common ambiguities of natural language?
A) Flowcharts
B) Pseudocode
C) Natural languages
D) Drakon-charts
  • 38. Who is credited with designing the first algorithm intended for a computer?
A) Herman Hollerith
B) Charles Babbage
C) George Stibitz
D) Ada Lovelace
  • 39. What is the subclass of Monte Carlo algorithms that runs in polynomial time?
A) P
B) NP
C) ZPP
D) RP
  • 40. What primary symbol in a flowchart represents decisions?
A) Rectangles
B) Diamonds
C) Arrows
D) Dots
  • 41. Which representation gives the exact state table and list of transitions for a Turing machine?
A) High-level description
B) Formal description
C) Implementation description
D) Control tables
  • 42. What method did Al-Kindi describe for cryptanalysis?
A) Caesar cipher
B) Substitution cipher
C) Transposition cipher
D) Frequency analysis
  • 43. What did NIST update in 2024 related to quantum computing?
A) Lambda calculus
B) Post-quantum encryption standards
C) SAINT program
D) Turing machines
  • 44. Which of these is NOT a canonical structure augmented by Tausworthe?
A) RECURSION
B) SEQUENCE
C) WHILE-DO
D) IF-THEN-ELSE
  • 45. Which library integrated the small sorting algorithms discovered by AlphaDev?
A) Java Collections Framework
B) Python's built-in sort function
C) LLVM standard C++ sorting library
D) C# System.Linq
  • 46. What does AlphaEvolve use to propose code changes?
A) Human coders
B) Language models
C) Automated evaluators
D) Reinforcement learning
  • 47. In flowchart representation, what does an arrow symbolize?
A) Program flow
B) Sub-structure nesting
C) Decision point
D) Output
  • 48. In what year was AlphaDev introduced by Google DeepMind?
A) 2020
B) 2023
C) 2019
D) 2025
  • 49. What does pseudocode typically represent in algorithm analysis?
A) A graphical aid like a flowchart
B) An optimized code for specific hardware
C) A simple and general representation
D) A detailed implementation guide
  • 50. Which heuristic algorithm is non-deterministic?
A) Floyd–Warshall algorithm
B) Simulated annealing
C) Tabu search
D) Prim's algorithm
  • 51. Which type of algorithms are inherently serial and cannot be parallelized?
A) Parallelizable algorithms
B) Inherently serial problems
C) Non-deterministic algorithms
D) Distributed algorithms
  • 52. Which AI system discovered improved sorting and hashing algorithms?
A) AlphaEvolve
B) DeepMind
C) AlphaZero
D) AlphaDev
  • 53. Which device is considered the first real Turing-complete computer?
A) Z3
B) Babbage's analytical engine
C) Difference Engine
D) ENIAC
  • 54. Which search algorithm is more efficient for sorted lists in terms of time complexity?
A) Sequential search
B) Binary search
C) Linear search
D) Bubble sort
  • 55. What is the open question known as that involves whether randomized algorithms with polynomial time complexity can be the fastest for some problems?
A) Monte Carlo problem
B) Las Vegas problem
C) P versus NP problem
D) Reduction of complexity problem
  • 56. Which design approach involves breaking a problem into smaller sub-problems?
A) Dynamic programming
B) Divide-and-conquer
C) Template method pattern
D) Decorator pattern
  • 57. What was a significant development in data storage and transmission around 1890?
A) Magnetic tape
B) Floppy disks
C) Punch cards
D) Hard drives
  • 58. Which formalization is associated with Alonzo Church and was introduced in 1936?
A) Lambda calculus
B) Turing machines
C) Recursive functions
D) Formulation 1
  • 59. Which AI development has inverted the traditional sequence of algorithm evolution from heuristics to formal algorithms?
A) SAINT program
B) NIST encryption standards
C) Quantum computing
D) Transformer-based AI
  • 60. Which invention in 1835 led to the development of telephone-switching networks?
A) Punch cards
B) Difference engine
C) Telegraph
D) Electromechanical relays
  • 61. What type of problems can be solved using the greedy method for minimal spanning trees?
A) Problems with integer constraints.
B) Linear programming problems.
C) Graphs without negative cycles.
D) Dynamic programming problems.
  • 62. What was the primary use of ticker tape developed in the 1870s?
A) Text messaging
B) Data transmission
C) Image printing
D) Audio recording
  • 63. Which century saw the use of accurate automatic machines leading to mechanical automata?
A) 17th century
B) 13th century
C) 19th century
D) 15th century
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